The equation of a wave travelling in a horizontal direction is expressed as y = 24 sin 3π

JAMB Physics 2023 85 views
Source: JAMB · 2023

The equation of a wave travelling in a horizontal direction is expressed as y = 24 sin 3π/4 (140t – x). What is its wavelength?

The equation of a wave travelling in a horizontal direction is expressed as y = 24 sin 3π/4 (140t – x). What is its wavelength?

  1. 8.33 m
  2. 2.67 m ✓
  3. 4.22 m
  4. 5.25 m
Explanation

Compare with y = A sin(kx − ωt). Here the number multiplying x is k = 3π/4.

Wavelength λ = 2π/k = 2π ÷ (3π/4) = 8/3 = 2.67 m.

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